2
Business statistics exam 2 with precise detailed solutions || || || || || || ||
a bell shaped curve is - ✔✔normal
|| || || || || ||
a rectangle on the graph is - ✔✔uniform
|| || || || || || ||
A ------ can assume any value
|| || || || ||
in an interval on the real line or in a collection of intervals when talking about --------- -
|| || || || || || || || || || || || || || || || || ||
✔✔continuous random variable || ||
Continuous Probability Distributions || ||
for the ----------- It is not possible to talk about the probability of the
|| || || || || || || || || || || || ||
random variable assuming a particular value. Instead, we talk about the probability of the
|| || || || || || || || || || || || || ||
random
variable assuming a value --- - ✔✔Continuous Probability Distributions
|| || || || || || || ||
within a given interval
|| || ||
according to the ------The probability of the random variable assuming a
|| || || || || || || || || ||
value within some given interval from x1 to x2 is defined to be the area------ of the ------
|| || || || || || || || || || || || || || || || || ||
between x1 and x2. - ✔✔Continuous Probability Distributions
|| || || || || || ||
under the graph || ||
probability density function || ||
A random variable is ----------
|| || || ||
whenever the probability is proportional to the interval's length. - ✔✔uniformly distributed
|| || || || || || || || || || ||
,2
The --------is: is where a is the --- value the variable can assume and b = ---- value the
|| || || || || || || || || || || || || || || || || || ||
variable can assume - ✔✔uniform probability density function
|| || || || || || ||
smallest
largest
UNIFORM Probability Distribution involves - ✔✔uniform probability density function
|| || || || || || || ||
variance of x || ||
expected value of x || || ||
Example: Slater's Buffet || ||
Slater customers are charged for the amount of salad they take. Sampling suggests that the
|| || || || || || || || || || || || || || ||
amount of salad taken is uniformly distributed between 5 ounces and 15 ounces.
|| || || || || || || || || || || ||
where:
x = salad plate filling weight - ✔✔@Uniform Probability Distribution
|| || || || || || || || ||
f(x) = 1/10 for 5 < x < 15
|| || || || || || || ||
= 0 elsewhere
|| ||
@Expected value of X || || ||
(x) = (a + b)/2 = (5 + 15)/2 = 10
|| || || || || || || || || ||
@Variance of x || ||
Var(x) = (b - a)2/12 = (15 - 5)2/12 = 8.33
|| || || || || || || || || ||
anything in a range equals - ✔✔continuous probability distribution
|| || || || || || || ||
first you have to find the range in order to find the - ✔✔probability
|| || || || || || || || || || || || ||
probability under the graph is the - ✔✔area || || || || || || ||
,2
the area can be the - ✔✔probability
|| || || || || ||
uniform means - ✔✔equal, the same || || || || ||
is spread out evenly among the range - ✔✔probability
|| || || || || || || ||
what formula is discrete from chapter 5 - ✔✔uniform probability distribution
|| || || || || || || || || ||
what formula is continuous - ✔✔uniform probability DENSITY distribution
|| || || || || || || ||
b-a = - ✔✔range of possibilities
|| || || || ||
x - ✔✔observation
|| ||
x is between - ✔✔a and b
|| || || || || ||
elsewhere probability = - ✔✔0 || || || ||
lower and upper boundaries are - ✔✔parameters
|| || || || || ||
5 ounces and 15 ounces are - ✔✔lower and upper boundaries which are parameters
|| || || || || || || || || || || || ||
the probability of the plate weighing more than 15 or less than 5 is - ✔✔0
|| || || || || || || || || || || || || || ||
keys of knowing when to use the probability distribution function - ✔✔if the question talks
|| || || || || || || || || || || || || || ||
about parameters, equally likely, assume uniform distribution,
|| || || || || ||
, 2
f( 12 is less than or equal to x which is less than or equal to 15) it is the same without the
|| || || || || || || || || || || || || || || || || || || || || || ||
- ✔✔equal line underneath
|| || ||
the average is the - ✔✔expected value
|| || || || || ||
between 12 and 15 looks like - ✔✔x is greater or equal to 12 and x is less than or equal to
|| || || || || || || || || || || || || || || || || || || || ||
15 (12<x<15)
|| ||
f(x) equals (12<x<15) which is a - ✔✔probability
|| || || || || || ||
area of a rectangle formula - ✔✔width times height
|| || || || || || || ||
probability and are formula for rectangle - ✔✔width times height
|| || || || || || || || ||
width is equal to - ✔✔15-12 in the (12<x<15) probability
|| || || || || || || || ||
height equals - ✔✔uniform probability distribution
|| || || || ||
probability always equals - ✔✔one || || || ||
half the graph will be - ✔✔half the probability
|| || || || || || || ||
The area under the graph of f(x) and probability are
|| || || || || || || || ||
identical. - ✔✔area as a measure of probability || || || || || || ||
The -----of f(x) and --- are
|| || || || ||
Business statistics exam 2 with precise detailed solutions || || || || || || ||
a bell shaped curve is - ✔✔normal
|| || || || || ||
a rectangle on the graph is - ✔✔uniform
|| || || || || || ||
A ------ can assume any value
|| || || || ||
in an interval on the real line or in a collection of intervals when talking about --------- -
|| || || || || || || || || || || || || || || || || ||
✔✔continuous random variable || ||
Continuous Probability Distributions || ||
for the ----------- It is not possible to talk about the probability of the
|| || || || || || || || || || || || ||
random variable assuming a particular value. Instead, we talk about the probability of the
|| || || || || || || || || || || || || ||
random
variable assuming a value --- - ✔✔Continuous Probability Distributions
|| || || || || || || ||
within a given interval
|| || ||
according to the ------The probability of the random variable assuming a
|| || || || || || || || || ||
value within some given interval from x1 to x2 is defined to be the area------ of the ------
|| || || || || || || || || || || || || || || || || ||
between x1 and x2. - ✔✔Continuous Probability Distributions
|| || || || || || ||
under the graph || ||
probability density function || ||
A random variable is ----------
|| || || ||
whenever the probability is proportional to the interval's length. - ✔✔uniformly distributed
|| || || || || || || || || || ||
,2
The --------is: is where a is the --- value the variable can assume and b = ---- value the
|| || || || || || || || || || || || || || || || || || ||
variable can assume - ✔✔uniform probability density function
|| || || || || || ||
smallest
largest
UNIFORM Probability Distribution involves - ✔✔uniform probability density function
|| || || || || || || ||
variance of x || ||
expected value of x || || ||
Example: Slater's Buffet || ||
Slater customers are charged for the amount of salad they take. Sampling suggests that the
|| || || || || || || || || || || || || || ||
amount of salad taken is uniformly distributed between 5 ounces and 15 ounces.
|| || || || || || || || || || || ||
where:
x = salad plate filling weight - ✔✔@Uniform Probability Distribution
|| || || || || || || || ||
f(x) = 1/10 for 5 < x < 15
|| || || || || || || ||
= 0 elsewhere
|| ||
@Expected value of X || || ||
(x) = (a + b)/2 = (5 + 15)/2 = 10
|| || || || || || || || || ||
@Variance of x || ||
Var(x) = (b - a)2/12 = (15 - 5)2/12 = 8.33
|| || || || || || || || || ||
anything in a range equals - ✔✔continuous probability distribution
|| || || || || || || ||
first you have to find the range in order to find the - ✔✔probability
|| || || || || || || || || || || || ||
probability under the graph is the - ✔✔area || || || || || || ||
,2
the area can be the - ✔✔probability
|| || || || || ||
uniform means - ✔✔equal, the same || || || || ||
is spread out evenly among the range - ✔✔probability
|| || || || || || || ||
what formula is discrete from chapter 5 - ✔✔uniform probability distribution
|| || || || || || || || || ||
what formula is continuous - ✔✔uniform probability DENSITY distribution
|| || || || || || || ||
b-a = - ✔✔range of possibilities
|| || || || ||
x - ✔✔observation
|| ||
x is between - ✔✔a and b
|| || || || || ||
elsewhere probability = - ✔✔0 || || || ||
lower and upper boundaries are - ✔✔parameters
|| || || || || ||
5 ounces and 15 ounces are - ✔✔lower and upper boundaries which are parameters
|| || || || || || || || || || || || ||
the probability of the plate weighing more than 15 or less than 5 is - ✔✔0
|| || || || || || || || || || || || || || ||
keys of knowing when to use the probability distribution function - ✔✔if the question talks
|| || || || || || || || || || || || || || ||
about parameters, equally likely, assume uniform distribution,
|| || || || || ||
, 2
f( 12 is less than or equal to x which is less than or equal to 15) it is the same without the
|| || || || || || || || || || || || || || || || || || || || || || ||
- ✔✔equal line underneath
|| || ||
the average is the - ✔✔expected value
|| || || || || ||
between 12 and 15 looks like - ✔✔x is greater or equal to 12 and x is less than or equal to
|| || || || || || || || || || || || || || || || || || || || ||
15 (12<x<15)
|| ||
f(x) equals (12<x<15) which is a - ✔✔probability
|| || || || || || ||
area of a rectangle formula - ✔✔width times height
|| || || || || || || ||
probability and are formula for rectangle - ✔✔width times height
|| || || || || || || || ||
width is equal to - ✔✔15-12 in the (12<x<15) probability
|| || || || || || || || ||
height equals - ✔✔uniform probability distribution
|| || || || ||
probability always equals - ✔✔one || || || ||
half the graph will be - ✔✔half the probability
|| || || || || || || ||
The area under the graph of f(x) and probability are
|| || || || || || || || ||
identical. - ✔✔area as a measure of probability || || || || || || ||
The -----of f(x) and --- are
|| || || || ||
